Train-induced ground vibration is numerically analyzed using the finite element method (FEM) in this paper. Varieties of open trenches including partial and full length systems with different geometries are employed as the vibration mitigation strategies. Ground is modeled by multiple soil layers and the train load pattern is simulated by series of successive moving loads. A parametric study is then carried out after verification of the numerical model. Effects of different parameters including the trench type, size and geometry and the train speed on the vibration mitigation level are investigated. The operational speeds are set to be in vicinity of the Rayleigh wave propagation velocity. Two types of active and passive trenches are considered with three different geometries consisting of rectangular, triangular (wedge) and circular cross sections.